Highest Common Factor of 43, 87, 214, 130 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 43, 87, 214, 130 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 43, 87, 214, 130 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 43, 87, 214, 130 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 43, 87, 214, 130 is 1.
HCF(43, 87, 214, 130) = 1
HCF of 43, 87, 214, 130 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 43, 87, 214, 130 is 1.
Highest Common Factor of 43,87,214,130 is 1
Step 1: Since 87 > 43, we apply the division lemma to 87 and 43, to get
87 = 43 x 2 + 1
Step 2: Since the reminder 43 ≠ 0, we apply division lemma to 1 and 43, to get
43 = 1 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 43 and 87 is 1
Notice that 1 = HCF(43,1) = HCF(87,43) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 214 > 1, we apply the division lemma to 214 and 1, to get
214 = 1 x 214 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 214 is 1
Notice that 1 = HCF(214,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 130 > 1, we apply the division lemma to 130 and 1, to get
130 = 1 x 130 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 130 is 1
Notice that 1 = HCF(130,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 43, 87, 214, 130 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 43, 87, 214, 130?
Answer: HCF of 43, 87, 214, 130 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 43, 87, 214, 130 using Euclid's Algorithm?
Answer: For arbitrary numbers 43, 87, 214, 130 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.